What is expand (2x-3)(2x-1)(x-1)(2x+3) ?

The solution to expand (2x-3)(2x-1)(x-1)(2x+3) is 8x^4-12x^3-14x^2+27x-9

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expand (2x-3)(2x-1)(x-1)(2x+3)

expand

(2 x - 3) (2 x - 1) (x - 1) (2 x + 3)

8 x^{4} - 12 x^{3} - 14 x^{2} + 27 x - 9

Solution steps

(2 x - 3) (2 x - 1) (x - 1) (2 x + 3)

Expand

(2 x - 3) (2 x - 1) (x - 1) (2 x + 3) : (4 x^{2} - 9) (2 x - 1) (x - 1)

= (4 x^{2} - 9) (2 x - 1) (x - 1)

Apply FOIL method

(4 x^{2} - 9) (2 x - 1) : 8 x^{3} - 4 x^{2} - 18 x + 9

= (8 x^{3} - 4 x^{2} - 18 x + 9) (x - 1)

Distribute parentheses

= 8 x^{3} x + 8 x^{3} (- 1) - 4 x^{2} x - 4 x^{2} (- 1) - 18 xx - 18 x (- 1) + 9 x + 9 (- 1)

Simplify

8 x^{3} x + 8 x^{3} (- 1) - 4 x^{2} x - 4 x^{2} (- 1) - 18 xx - 18 x (- 1) + 9 x + 9 (- 1) : 8 x^{4} - 12 x^{3} - 14 x^{2} + 27 x - 9

= 8 x^{4} - 12 x^{3} - 14 x^{2} + 27 x - 9

15 + 18 x

(2 x - 1)^{7}

(12.6 + \frac{1}{3}) \cdot (- 0.4)

What is expand (2x-3)(2x-1)(x-1)(2x+3) ?
The solution to expand (2x-3)(2x-1)(x-1)(2x+3) is 8x^4-12x^3-14x^2+27x-9